Solve for x: 1/2(2x − 14) = 4.
Hello I'm having trouble performing this in fractional form could I be only be pointed int he right direction not given a dierect answer entirly; I'm picking up some new knowledge off old topics and am some reason havign trouble doing the fractional piece....
THNAKS SO MUCH FOR YOUR HELP AND TIME
Do you know how to distribute?
1/2 times 2x = x.
1/2 times -14 = -7.
Now we get x-7=4.
Can you solve it from here?
You are very welcome!
Oh yes distributing isn't a problem for me I was having trouble with fraction multiplying and stuff (Thsi course is telling me how to take care of these equations with fraction's in diffrent way then before thank you yes I think I can is it fine if I post my answer alongside here to see if its correct
And from there is
with the given equation \(x - 7 = 4\)
to find the solution first we take 7 and add it to the four and see that it total's 11 and x is equal to elven because 11 - 7 is equal to 4
We can also solve for x like this:
\(\frac12\)( 2x - 14 ) = 4
Multiply both sides of the equation by 2
2x - 14 = 8
Add 14 to both sides.
2x = 22
Divide both sides by 2
x = 11
This way we avoid disributing the \(\frac12\) . In this particular case it was shorter to do it the way CoolStuffYT said, but in many other cases it is easier to work it the other way. For example:
\(\frac12\)( x - 14 ) = 4
In this example, it is easier to first multiply both sides by 2 rather than distribute \(\frac12\) .
Try it both ways and you can see why